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Finding the Fourth Proportional to 6,356.45, 9,523.38 and 5,422.53

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Solution

The fourth proportional to 6,356.45, 9,523.38 and 5,422.53 is: 8,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.45 : 9,523.38 = 5,422.53 : x
  2. Step 2: Convert to fraction form
    6,356.45/9,523.38 = 5,422.53/x
  3. Step 3: Cross multiply
    6,356.45x = 9,523.38 × 5,422.53
  4. Step 4: Simplify right side
    6,356.45x = 51,640,813.75
  5. Step 5: Solve for x
    x = 51,640,813.75/6,356.45
  6. Step 6: Final answer
    x = 8,124.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.